TY - BOOK AU - Martsinkovsky,Alex AU - Todorov,Gordana AU - Igusa,Kiyoshi ED - Maurice Auslander Distinguished Lectures and International Conference TI - Recent developments in representation theory T2 - Contemporary mathematics SN - 9781470419554 (alk. paper) U1 - 510 23 PY - 2016/// CY - Providence : PB - American Mathematical Society KW - Associative rings KW - Congresses KW - Representations of rings (Algebra) N1 - Includes bibliographical references; Orders in Artinian rings, Goldie's Theorem and the largest left quotient ring of a ring / V. V. Bavula -- Invariant theory of Artin-Schelter regular algebras: a survey / Ellen E. Kirkman -- The Catalan combinatorics of the hereditary artin algebras / Claus Michael Ringel -- Grassmannians, flag varieties, and Gelfand-Zetlin polytopes / Evgeny Smirnov -- On the combinatorics of the set of tilting modules / Luise Unger -- N2 - This volume contains selected expository lectures delivered at the Maurice Auslander Distinguished Lectures and International Conference, held May 1-6, 2014, at the Woods Hole Oceanographic Institute, Woods Hole, MA. Several significant developments of the last decade in representation theory of finite-dimensional algebras are related to combinatorics. Three of the five lectures in this volume deal, respectively, with the Catalan combinatorics, the combinatorics of Gelfand-Zetlin polytopes, and the combinatorics of tilting modules. The remaining papers present history and recent advances in the study of left orders in left Artinian rings and a survey on invariant theory of Artin-Schelter regular algebras ER -